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Book Details
Table of Contents
Preface
Page xiii
Supplements
Page xxi
Walkthrough
Page xxv
Index of Applications
Page xxxiii
R.
Review of Basic Algebra
Page 1
R.1.
Real Numbers and Their Properties
Page 3
R.2.
Rational Exponents, Scientific Notation, and Doses of Medicine
Page 16
R.3.
Polynomials
Page 30
R.4.
Factoring
Page 37
R.5.
Rational Expressions
Page 44
R.6.
Equations, Variation, Scuba Diving, and Fermat's Last Theorem
Page 51
R.7.
Functions, Tables, and Skeleton Sizes
Page 64
Chapter Project: Space-Time Travel
Page 77
Highlights
Page 79
Review Exercises
Page 81
Test
Page 84
1.
Interplay Between Algebra and Geometry
Page 85
1.1.
Coordinate Systems and Graphs
Page 86
1.2.
Lines, Least-Squares Fit, and the Year 2000 Problem
Page 95
1.3.
Linear Functions, Reservoir Monitoring, and Cost-Volume Analysis
Page 113
1.4.
Parabolas and Quadratic Equations
Page 122
1.5.
Quadratic Functions, Learning German, and Fluid Flow
Page 129
1.6.
Distances, Circles, and Typesetting
Page 139
Chapter Project: Real and Subjective Times
Page 154
Highlights
Page 156
Review Exercises
Page 157
Test
Page 160
2.
Solving Equations and Inequalities
Page 162
2.1.
Quadratic Equations
Page 163
2.2.
Applications of Quadratic Equations Including Motion and Architecture
Page 175
2.3.
Further Types of Equations
Page 182
2.4.
Inequalities, Temperature Range of a Computer, and Spread of a Disease
Page 191
2.5.
Equations and Inequalities with Absolute Values
Page 204
Chapter Project: Algorithms for Finding Roots and Solving Equations
Page 210
Highlights
Page 212
Review Exercises
Page 213
Test
Page 214
Cumulative Test
Page 215
3.
Further Development of Functions
Page 217
3.1.
Polynomial Functions
Page 218
3.2.
Construction of Functions, Optimization, and Drug Administration
Page 226
3.3.
Special Functions, Symmetry, and Consumer Awareness
Page 240
3.4.
Shifting and Stretching Graphs, Supply and Demand for Wheat
Page 255
3.5.
Rational Functions
Page 275
3.6.
Operations on Functions and an Introduction to the Field of Chaos
Page 286
3.7.
Inverse Functions, One-to-One, and Cryptography
Page 300
Chapter Project: Recalling Ability
Page 315
Highlights
Page 317
Review Exercises
Page 318
Test
Page 321
4.
Further Theory of Polynomials
Page 323
4.1.
Synthetic Division, Zeros, and Factors
Page 324
4.2.
Complex Numbers and the Mandelbrot Set
Page 330
4.3.
Complex Zeros, Complex Factors, and the Fundamental Theorem of Algebra
Page 341
4.4.
Computing Zeros of Polynomials
Page 347
Chapter Project: Julia Sets
Page 354
Highlights
Page 355
Review Exercises
Page 356
Test
Page 357
5.
Exponential and Logarithmic Functions
Page 358
5.1.
Exponential Functions and the Growth of Escherichia coli
Page 360
5.2.
The Natural Exponential Function and Solving Exponential Equations
Page 374
5.3.
Logarithmic Functions and Seismography
Page 384
5.4.
Properties of Logarithms and Solving Logarithmic Equations
Page 393
5.5.
Exponential Regression and Intravenous Drug Administration
Page 404
Chapter Project: Simulating the Government Model for World Population
Page 414
Highlights
Page 415
Review Exercises
Page 416
Test
Page 417
Cumulative Test
Page 418
6.
Systems of Equations and Inequalities
Page 420
6.1.
Systems of Linear Equations in Two Variables
Page 422
6.2.
Systems of Linear Equations in Three Variables
Page 433
6.3.
Gauss-Jordan Elimination and Electrical Networks
Page 445
6.4.
Systems of Nonlinear Equations
Page 452
6.5.
Systems of Linear Inequalities
Page 458
6.6.
Linear Programming and Optimal Use of Resources
Page 464
Chapter Project: Linear Programming
Page 471
Highlights
Page 472
Review Exercises
Page 473
Test
Page 475
7.
Matrices
Page 476
7.1.
Matrices and Group Relationships in Sociology
Page 477
7.2.
Multiplication of Matrices and Population Movements
Page 492
7.3.
The Inverse of a Matrix and the Interdependence of Industries
Page 503
7.4.
Determinants and Cramer's Rule
Page 512
7.5.
Symmetric Matrices and Archaeology
Page 522
Chapter Project: Influence Within a Group
Page 528
Highlights
Page 530
Review Exercises
Page 531
Test
Page 533
8.
Sequences and Series
Page 535
8.1.
Sequences, Series, and the Fibonacci Sequence
Page 536
8.2.
Arithmetic Sequences
Page 544
8.3.
Geometric Sequences, Count of Bacteria, and the Flaw in the Pentium Chip
Page 552
8.4.
Mathematical Induction
Page 566
8.5.
The Binomial Theorem
Page 567
Chapter Project: E-Mail Messages
Page 576
Highlights
Page 578
Review Exercises
Page 579
Test
Page 580
9.
Permutations, Combinations, and Probability
Page 582
9.1.
Permutations and Combinations
Page 583
9.2.
Probability and Blood Groups
Page 592
Chapter Project: Traffic Flow
Page 607
Highlights
Page 608
Review Exercises
Page 609
Test
Page 611
Cumulative Test
Page 612
A.
Conic Sections
Page 614
B.
TI-82/TI-83 Calculator Reference
Page 626
Answers to odd-Numbered Exercises
Page 633
Index
Page 675
Edition Notes
Classifications
The Physical Object
ID Numbers
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Feedback?December 1, 2020 | Edited by MARC Bot | import existing book |
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July 22, 2017 | Edited by Mek | adding subject: In library |
January 18, 2011 | Edited by ImportBot | add subjects from new record |
May 5, 2010 | Created by WorkBot | new work for accessible book |